25168697400 has 768 divisors, whose sum is σ = 101410652160. Its totient is φ = 5013043200.

The previous prime is 25168697383. The next prime is 25168697401. The reversal of 25168697400 is 479686152.

It is a self number, because there is not a number n which added to its sum of digits gives 25168697400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25168697401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 145483714 + ... + 145483886.

It is an arithmetic number, because the mean of its divisors is an integer number (132045120).

Almost surely, 2^25168697400 is an apocalyptic number.

25168697400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25168697400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50705326080).

25168697400 is an abundant number, since it is smaller than the sum of its proper divisors (76241954760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25168697400 is a wasteful number, since it uses less digits than its factorization.

25168697400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 25168697400 in words is "twenty-five billion, one hundred sixty-eight million, six hundred ninety-seven thousand, four hundred".